Question

A race car traveling on a straight part of a track has an initial velocity of 10.0 m/s. If the car then accelerates at 2.00 m/s2, how far will the car travel in 3.0 seconds?

Answer 1

Answer:

For example, if the velocity of a particle moving in a straight line changes uniformly ... from 2 m/s to 5 m/s over one second, then its constant acceleration is 3 m/s2. ... If a particle has an initial velocity of 6 m/s and a constant acceleration of −2 m/s2, then: ... (In exercise 6, we will find out how far the car travels during this time.) ...

Explanation:

Answer 2

Given :

• Initial Velocity ( u ) = 10 m/s
• Acceleration = 2 m/s²
• Time Taken = 3 seconds

To Find :

• Distance Traveled in 3 seconds.

Solution :

For Distance :

Using 2nd Equation :

$\longmapsto\tt\boxed{s=ut+\dfrac{1}{2}{at}^{2}}$

Putting Values :

$\longmapsto\tt{s=10(3)+\dfrac{1}{{\cancel{2}}}\times{{\cancel{2}}}\times{{(3)}^{2}}}$

$\longmapsto\tt{s=30+9}$

$\longmapsto\tt\bf{s=39m}$

So , The Distance Travelled by the Car is 39m..

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Three Equations Of Motion :

• v = u + at
• s = ut + 1/2 at²
• v² - u² = 2as

Here :

• v = Final Velocity
• u = Initial Velocity
• t = Time Taken
• a = Acceleration
• s = Distance Travelled

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